Coordinate system Questions and Answers

Given the rectangular equation 3x 2y 18 Choose the correct first step s in converting this to polar form Select one or more a 3rcos 2rsin 81 b 3 rcos 2rsin 9 c 3 I d None of these

Given the line 2x 3y 6 convert it into polar equation form What is the denominator of the polar equation when solved for r 1 30 r 2 x cos sin

Given that 0 8 n 0 X 1 1 x to x Identify its interval of convergence The series is convergent from with convergence in 1 1 find the power series for n 0 left end included enter Y or N right end included enter Y or N 2 25 1 3x5 with center

2 C of 56 M d 1 4 3 2 1 7 3 2 3 4 04 The plot above is created with the parametric equations x t a cos bt y t c sin dt To acheive this graph a 5 b 2 4 X Or

Listen Solve for x R 0 2 4 9 X 7 2x 6 S T

Find a 6 of a geometric sequence if the first few terms of the sequence are given by 2 4 8 16 Select one O a 64 b 128 c 128 d 64

Solve the following equation e 3x 9 Select one Oa 0 732 b 0 459 c 0 327 Od 0 237

What kind of triangle is made by connecting the points A 0 6 B 3 6 and C 3 2 Select one A right OB equilateral C right and isosceles D isosceles

Determine the most precise name for the quadrilateral Then find its area A 1 4 B 3 4 C 4 4 D 6 4 What is the most precise name for the quadrilateral ABCD A The quadrilateral ABCD is a rhombus B The quadrilateral ABCD a parallelogram OC The quadrilateral ABCD is a square OD The quadrilateral ABCD is a trapezoid OE The quadrilateral ABCD is an isosceles trapezoid OF The quadrilateral ABCD is a kite OG The quadrilateral ABCD is a rectangle The area of ABCD is square units Type an integer or a decimal

Find the values of x and y in the given kite Note Input answer as x y 4x 13 y 9 Answer A 5x 15 y

Find the values of x and y in the isosceles trapezoid 6x 20 4x Select one A x 10 y 116 B x 16 y 96 C x 10 y 96 D x 16 y 116

Find the measures of the numbered angle in the isosceles trapezoid L M 135 Answer 0 3 N Note Input answer as 1 2 3

Given AUTS with coordinates U 4 3 T 2 1 S 0 2 rotate the figure 90 Counterclockwise about the origin U 3 4 T 1 2 S 2 0 U 2 2 T 0 2 S 2 1 U 4 3 T 2 1 S 0 2 U 2 1 T 4 2 S 0 0

A parallelogram has verticies of 0 0 0 6 4 4 4 2 Which transformation maps the parallelogram onto itself 3 2 1 7 65 3 GN L y 3 2 3 x 2 y 2 5 6 7 t

Given the point A 3 5 find the image after performing the following two transformations First Translation x y x y 4 Reflection in the y axis 3 1 3 1 3 3 3 1

Consider the translation that is defined by the coordinate translation x y x 12 y 7 What is the preimage of D 0 6 D 10 7 D 12 13 D 12 1 D 0 2

Given A 3 5 what is A after the composition of transformations listed below x y x 4 y 1 then a reflection across the line y 2 A 1 10 A 1 6 OA 5 6 A 1 6

b Which of the two interpretations from part a can help us make sense of an angle measure of 450 Explain c Jeffrey measures ABC with a protractor and says the angle is 130 Is he correct Why or why not

Listen A 45 ft ladder is leaning up against a building The base of the ladder is 20 feet away from the building What is the angle of elevation to the top of the building Round to the nearest degree 38 21 64 57 11

Given quadrilateral A 2 1 B 1 3 C 6 5 D 7 1 you want to prove that it is a parallelogram by showing opposite sides are parallel What formula would you use Show that AB is parallel to CD Show all work

Given AB CB BM LAC and M is the midpoint of AC Prove A C B A M C Statements 1 AB CB 2 BM LAC 3 M is the midpoint of AC 4 AMB Z CMB 5 AM CM 6 AAMB ACMB 7 A C Reasons 1 Given 2 Given 3 Given 4 Right Angle Congruence Theorem 5 6 7

What is the reason for 4 Proof of the Pythagorean Theorem Given Triangle ABC is a right Triangle and CD is an altitude Prove a b c Statement 1 Triangle ABC is a right Triangle and 1 CD is an altitude 2 m BDC 90 mzADC 90 3 m A m A 4 m B m B 5 m ACB m CDB m ADC 6 AACB ACDB AADC 7 b 1 a b c 10 C e Reason a 2 3 4 5 6 7 B

What is the reason for 9 Given ABCA where E is the midpoint of AC and D is the midpoint of BA Prove DE BC and that BC DE Statement 1 D is the midpoint of AB E is the midpoint of AC 2 MAD mDB MAE mEB 3 mzA mZA 4 AD DB AB AE EC AC 5 AD AD AB AE AE AC B 6 2 AD AB 2 AE AC Reason 1 2 3 4 C 5 6 Simplify

Listen What is the reason for 4 Given CB AD and CBI AD H B A Statements 1 CB AD 2 CB AD 3 4CBD ADB 4 BD BD 5 ABCD ADAB Reasons

What is the reason for 5 A Given point I is the midpoint of XM and point I is the midpoint of AO M Statements 1 I is the midpoint of XM 2 3 I is the midpoint of AO 4 5 AIXOIM 6 AAXIAOMI Reasons Definition of Midpoint

Choose all quadrilaterals in which the property applies Both pairs of opposite sides are parallel Square Rhombus 000 Parallelogram Kite Rectangle Trapezoid

Choose all quadrilaterals in which the property applies Diagonals are Perpendicular Rectangle Parallelogram Trapezoid Square Rhombus Kite

Page 1 1 1 4 7 1 10 2 1 5 00 8 1 3 1 6 9 11 12 Find the value of x that makes u and v parallel Ox 10 Ox 2 x 17 70 6x 10 11 V

Find the average rate of change of g x 12 4 from 2 to x 2

Factor the expression and use the fundamental identities to s 4 sin x csc x 4 sin x Step 1 Begin by factoring out a common monomial factor 4 sin x csc x 4 sin x CSC2

When graphing y csc x the graph opens down on the interval with a of y

Given the graph of y 3cos3x choose where the graph crosses the x axis Select one or more a 2 3 b c 2 6 ST 6 H

Decomposing Exponential Equations Given the Exponential Equation determine the Initial Value and Rate of Change as a Percent for each of the following Initial Value Question Help Video Growth or Decay Rate as a Select an answer Select an answer Select an answer Select an answer Select an answer Select an answer Exponential Equation y 4681 1 27 y 3642 1 05 2415 0 72 y 2802 1 045 y y 0 93 y 4458 1 03

Select the correct answer The probability that Edward purchases a video game from a store is 0 67 event A and the probability that Greg purchases a video game from the store is 0 74 event 8 The probability that Edward purchases a video game given that Greg has purchased a video game is 0 67 Which statement is true OA Events A and B are independent because P A B P A OB Events A and B are dependent because P A 6 P A OC Events A and B are independent because P A B P 6 OD Events A and B are dependent because P AIB P A Reset Next

understand O True O False Question 2 Most people are usually aware of the full scope of reasoning in their lives True 1 5 pts

Watch help video Find the volume of the right cone below Round your answer to the nearest tenth if necessary 25 18

Complete the table below Equation y 5x 4 y 8 7t y 2a y 6 Rate of Change Initial Value Behavior Select an answer Select an answer Select an answer Select an answer

someone explain Look at the diagram below J K N question JK and MN will be dilated by a scale factor of 1 25 centered at point J to create J K and M N respectively Select all of the true statements M N will be the same line as MN M N will be parallel to MN but they will not be the same line J K will be parallel to JK but they will not be the same line

Find the area The figure is not drawn to scale 40 in O 138 in 2 2 O 69 in O 1440 in 2 O 1188 in 2 36 in 33 in

When a new charter school opened in 2002 there were 290 students enrolled Write a formula for the equation N representing the number of students attending this charter school t years after 2002 assuming that the student population Increased by 40 students per year Decreased by 28 students per year Increased by 48 students every 2 years Decreased by 44 students every 4 years Remained constant did not change Increased by 5 students every semester twice each year N N N N N N

y y Use linear regression to find the equation for the linear function that best fits this data Round to two decimal places Hint 876 1407 2237 3454 5545 8731

iven the three statements below identify which represent exponential equations 1 The cost of living allowance for state employees increases salaries by 3 1 each year 2 The value of an investment is increasing by 300 each year 3 Tuition costs have increased by 2 8 each year for the last 3 years ooking at the following two equations that represent the balance in two different avings accounts which account is growing faster and which account will have a higher balance after 3 years A 1 000 1 05 t B 900 1 075 t Complete the table The first one has been done for you Equation Initial Value y 615 0 79 y 500 1 03 y 3 200 1 2 y 19 611 0 98 615 50 Growth or Decay Decay Growth Rate as a 21 12

Choose the statement that is NOT true Select one Oa As B gets larger the period gets smaller and frequency becomes greater O b The period and the frequency vary indirectly OC The red graph is y sin x The phase shift for the blue graph is 1 2 1 Od The vertical phase shift of y 3sin 5x T 6 is 5

2 1 9 8 7 6 5 4 3 2 10 1 2 3 U 5 6 1 2 3 4 5 6 7 8 9 R S What are the coordinates of Point S after a dilation with the center at the origin and a scale factor of 2 1 8 4 O 2 1 O 16 8 4 2

Consider the following figure b mz1 P c m 2 N Given Q Find the following in degrees a m MRP M O T V In OQ PR contains Q MR is a tangent mMP 116 mMN 60 and mMT 46 R

From the image below c sinB b SinC B A Select one O True O False Answer h a b C For triangle DEF given sides d 38 e 42 and f 47 Find measure of angle F Your answer be numerical only and round to the nearest tenth

Directions Using the digits 1 to 9 fill in the boxes to produce a log that meets the indicated requirements Each digit can only be used once log Produces an integer log Produces an irrational number

Directions Using the digits 0 to 9 fill in the boxes so that the chart is accurate Use each digit only once per blue box and once per red box Logs are base 10 Note The green parenthesis indicates how to enter it into a calculator Increasing Size Increasing Size 969 log log loglog 1 C log 0

For f x 4x 1 and g x x 5 find f g x OA x 4x 4 OB x 4x 6 OC 4x 4 OD 4x 19

If f x 3x 1 and g x x 2 find f g x OA 3x x 1 OB 4x 1 OC 3x x 1 OD 3x 2